Pith Number

pith:Y5TM3NML

pith:2021:Y5TM3NMLO36LAIL6QDAFUOGNZX

not attested not anchored not stored refs pending

Necessary and sufficient graphical conditions for optimal adjustment sets in causal graphical models with hidden variables

Jakob Runge

arxiv:2102.10324 v4 · 2021-02-20 · cs.LG · cs.IT · math.IT · math.ST · stat.TH

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y5TM3NMLO36LAIL6QDAFUOGNZX}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-05T06:23:52.592648Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c766cdb58b76fcb0217e80c05a38cdcdc29652c882aaa21be03cbb07b980186c

Aliases

arxiv: 2102.10324 · arxiv_version: 2102.10324v4 · doi: 10.48550/arxiv.2102.10324 · pith_short_12: Y5TM3NMLO36L · pith_short_16: Y5TM3NMLO36LAIL6 · pith_short_8: Y5TM3NML

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/Y5TM3NMLO36LAIL6QDAFUOGNZX \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: c766cdb58b76fcb0217e80c05a38cdcdc29652c882aaa21be03cbb07b980186c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f276eac23cc90cca58cf4934308b329154e78916064f442f31c0c41461afa9c",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2021-02-20T12:25:06Z",
    "title_canon_sha256": "2b0ed2b43ca015e1cb7dfb7b127bf4e858b83bc875e1772b94126376e7252bbb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2102.10324",
    "kind": "arxiv",
    "version": 4
  }
}